The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded

Alinhac solved a long-standing open problem in 2001 and established that quasilinear wave equations in two space dimensions with quadratic null nonlinearities admit global-in-time solutions, provided that the initial data are compactly supported and sufficiently small in Sobolev norm. In this work,...

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Bibliographic Details
Published in:Fundamental Research
Main Authors: Shijie Dong, Philippe G. LeFloch, Zhen Lei
Format: Article
Language:English
Published: KeAi Communications Co. Ltd. 2024-03-01
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Online Access:http://www.sciencedirect.com/science/article/pii/S2667325822002801